On some frequency domain properties of small signal models of a class of power systems
Resumen:
This paper studies frequency domain properties of linear models of a class of power system, characterized by synchronous generators with constant excitation and the absence of resistive loads and leaky lines. A port-controlled Hamiltonian (PCH) representation is given for each component of the network. The corresponding linear model around the equilibrium point is shown to meet a convex condition in the frequency domain, able to be exploited in the stability analysis of interconnected systems. The application of this property to a classical two-areas example shows that it can be computationally exploited even in the case of non-idealized models.
2007 | |
Differential algebraic equations Frequency-domain analysis Power system interconnection Power system stability |
|
Inglés | |
Universidad de la República | |
COLIBRI | |
https://hdl.handle.net/20.500.12008/38783 | |
Acceso abierto | |
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
_version_ | 1807522935833886720 |
---|---|
author | Giusto, Alvaro |
author_facet | Giusto, Alvaro |
author_role | author |
bitstream.checksum.fl_str_mv | 7f2e2c17ef6585de66da58d1bfa8b5e1 9833653f73f7853880c94a6fead477b1 4afdbb8c545fd630ea7db775da747b2f 9da0b6dfac957114c6a7714714b86306 |
bitstream.checksumAlgorithm.fl_str_mv | MD5 MD5 MD5 MD5 |
bitstream.url.fl_str_mv | http://localhost:8080/xmlui/bitstream/20.500.12008/38783/4/license.txt http://localhost:8080/xmlui/bitstream/20.500.12008/38783/1/license_text http://localhost:8080/xmlui/bitstream/20.500.12008/38783/2/license_url http://localhost:8080/xmlui/bitstream/20.500.12008/38783/3/license_rdf |
collection | COLIBRI |
dc.creator.none.fl_str_mv | Giusto, Alvaro |
dc.date.accessioned.none.fl_str_mv | 2023-08-01T20:33:45Z |
dc.date.available.none.fl_str_mv | 2023-08-01T20:33:45Z |
dc.date.issued.es.fl_str_mv | 2007 |
dc.date.submitted.es.fl_str_mv | 20230801 |
dc.description.abstract.none.fl_txt_mv | This paper studies frequency domain properties of linear models of a class of power system, characterized by synchronous generators with constant excitation and the absence of resistive loads and leaky lines. A port-controlled Hamiltonian (PCH) representation is given for each component of the network. The corresponding linear model around the equilibrium point is shown to meet a convex condition in the frequency domain, able to be exploited in the stability analysis of interconnected systems. The application of this property to a classical two-areas example shows that it can be computationally exploited even in the case of non-idealized models. |
dc.identifier.citation.es.fl_str_mv | Giusto, A. On some frequency domain properties of small signal models of a class of power systems . 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007. |
dc.identifier.uri.none.fl_str_mv | https://hdl.handle.net/20.500.12008/38783 |
dc.language.iso.none.fl_str_mv | en eng |
dc.publisher.es.fl_str_mv | IEEE |
dc.relation.ispartof.es.fl_str_mv | 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007 |
dc.rights.license.none.fl_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
dc.rights.none.fl_str_mv | info:eu-repo/semantics/openAccess |
dc.source.none.fl_str_mv | reponame:COLIBRI instname:Universidad de la República instacron:Universidad de la República |
dc.subject.es.fl_str_mv | Differential algebraic equations Frequency-domain analysis Power system interconnection Power system stability |
dc.title.none.fl_str_mv | On some frequency domain properties of small signal models of a class of power systems |
dc.type.es.fl_str_mv | Ponencia |
dc.type.none.fl_str_mv | info:eu-repo/semantics/conferenceObject |
dc.type.version.none.fl_str_mv | info:eu-repo/semantics/publishedVersion |
description | This paper studies frequency domain properties of linear models of a class of power system, characterized by synchronous generators with constant excitation and the absence of resistive loads and leaky lines. A port-controlled Hamiltonian (PCH) representation is given for each component of the network. The corresponding linear model around the equilibrium point is shown to meet a convex condition in the frequency domain, able to be exploited in the stability analysis of interconnected systems. The application of this property to a classical two-areas example shows that it can be computationally exploited even in the case of non-idealized models. |
eu_rights_str_mv | openAccess |
format | conferenceObject |
id | COLIBRI_412f034b03fbfb9b424e568189aac74b |
identifier_str_mv | Giusto, A. On some frequency domain properties of small signal models of a class of power systems . 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007. |
instacron_str | Universidad de la República |
institution | Universidad de la República |
instname_str | Universidad de la República |
language | eng |
language_invalid_str_mv | en |
network_acronym_str | COLIBRI |
network_name_str | COLIBRI |
oai_identifier_str | oai:colibri.udelar.edu.uy:20.500.12008/38783 |
publishDate | 2007 |
reponame_str | COLIBRI |
repository.mail.fl_str_mv | mabel.seroubian@seciu.edu.uy |
repository.name.fl_str_mv | COLIBRI - Universidad de la República |
repository_id_str | 4771 |
rights_invalid_str_mv | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
spelling | 2023-08-01T20:33:45Z2023-08-01T20:33:45Z200720230801Giusto, A. On some frequency domain properties of small signal models of a class of power systems . 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007.https://hdl.handle.net/20.500.12008/38783This paper studies frequency domain properties of linear models of a class of power system, characterized by synchronous generators with constant excitation and the absence of resistive loads and leaky lines. A port-controlled Hamiltonian (PCH) representation is given for each component of the network. The corresponding linear model around the equilibrium point is shown to meet a convex condition in the frequency domain, able to be exploited in the stability analysis of interconnected systems. The application of this property to a classical two-areas example shows that it can be computationally exploited even in the case of non-idealized models.Made available in DSpace on 2023-08-01T20:33:45Z (GMT). No. of bitstreams: 4 license_text: 21936 bytes, checksum: 9833653f73f7853880c94a6fead477b1 (MD5) license_url: 49 bytes, checksum: 4afdbb8c545fd630ea7db775da747b2f (MD5) license_rdf: 23148 bytes, checksum: 9da0b6dfac957114c6a7714714b86306 (MD5) license.txt: 4194 bytes, checksum: 7f2e2c17ef6585de66da58d1bfa8b5e1 (MD5) Previous issue date: 2007enengIEEE46th IEEE Conference on Decision and Control, New Orleans, LA, USA, 2007Las obras depositadas en el Repositorio se rigen por la Ordenanza de los Derechos de la Propiedad Intelectual de la Universidad De La República. (Res. Nº 91 de C.D.C. de 8/III/1994 – D.O. 7/IV/1994) y por la Ordenanza del Repositorio Abierto de la Universidad de la República (Res. Nº 16 de C.D.C. de 07/10/2014)info:eu-repo/semantics/openAccessLicencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)Differential algebraic equationsFrequency-domain analysisPower system interconnectionPower system stabilityOn some frequency domain properties of small signal models of a class of power systemsPonenciainfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionreponame:COLIBRIinstname:Universidad de la Repúblicainstacron:Universidad de la RepúblicaGiusto, AlvaroLICENSElicense.txttext/plain4194http://localhost:8080/xmlui/bitstream/20.500.12008/38783/4/license.txt7f2e2c17ef6585de66da58d1bfa8b5e1MD54CC-LICENSElicense_textapplication/octet-stream21936http://localhost:8080/xmlui/bitstream/20.500.12008/38783/1/license_text9833653f73f7853880c94a6fead477b1MD51license_urlapplication/octet-stream49http://localhost:8080/xmlui/bitstream/20.500.12008/38783/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_rdfapplication/octet-stream23148http://localhost:8080/xmlui/bitstream/20.500.12008/38783/3/license_rdf9da0b6dfac957114c6a7714714b86306MD5320.500.12008/387832023-08-01 17:33:45.901oai:colibri.udelar.edu.uy:20.500.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://udelar.edu.uy/https://www.colibri.udelar.edu.uy/oai/requestmabel.seroubian@seciu.edu.uyUruguayopendoar:47712024-07-25T14:33:31.036563COLIBRI - Universidad de la Repúblicafalse |
spellingShingle | On some frequency domain properties of small signal models of a class of power systems Giusto, Alvaro Differential algebraic equations Frequency-domain analysis Power system interconnection Power system stability |
status_str | publishedVersion |
title | On some frequency domain properties of small signal models of a class of power systems |
title_full | On some frequency domain properties of small signal models of a class of power systems |
title_fullStr | On some frequency domain properties of small signal models of a class of power systems |
title_full_unstemmed | On some frequency domain properties of small signal models of a class of power systems |
title_short | On some frequency domain properties of small signal models of a class of power systems |
title_sort | On some frequency domain properties of small signal models of a class of power systems |
topic | Differential algebraic equations Frequency-domain analysis Power system interconnection Power system stability |
url | https://hdl.handle.net/20.500.12008/38783 |